Question

If AC||DE, which of the following justifies ΔABC ~ ΔDBE?
A
Definition of Similar Triangles

B
SAS Similarity Theorem

C
SSS Similarity Theorem

D
AA Similarity Postulate

Answer 1

Step-by-step explanation:

by AA similarity postulate..

Answer 2

option ( d) is correct

AA similarity postulate

Step-by-step explanation:

given : AC ║ DE

then $\bigtriangleup ABC\sim \bigtriangleup DBE$

by AA similarity

proof :

since AC ║ DE (given)

$\angle A = \angle E$ ...( Alternate angles)

similarly

$\angle C= \angle D$ ...( Alternate angles)

$\angle ABC = \angle DBE$ ....( vertically opposite angles )

therfore,

$\bigtriangleup ABC\sim \bigtriangleup DBE$  

(by AA similarity criterion)

hence,

option ( d) is correct

AA similarity postulate

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